English

Quantum measurements without macroscopic superpositions

Quantum Physics 2009-11-13 v2

Abstract

We study a class of quantum measurement models. A microscopic object is entangled with a macroscopic pointer such that each eigenvalue of the measured object observable is tied up with a specific pointer deflection. Different pointer positions mutually decohere under the influence of a bath. Object-pointer entanglement and decoherence of distinct pointer readouts proceed simultaneously. Mixtures of macroscopically distinct object-pointer states may then arise without intervening macroscopic superpositions. Initially, object and apparatus are statistically independent while the latter has pointer and bath correlated according to a metastable local thermal equilibrium. We obtain explicit results for the object-pointer dynamics with temporal coherence decay in general neither exponential nor Gaussian. The decoherence time does not depend on details of the pointer-bath coupling if it is smaller than the bath correlation time, whereas in the opposite Markov regime the decay depends strongly on whether that coupling is Ohmic or super-Ohmic.

Keywords

Cite

@article{arxiv.0711.0943,
  title  = {Quantum measurements without macroscopic superpositions},
  author = {Dominique Spehner and Fritz Haake},
  journal= {arXiv preprint arXiv:0711.0943},
  year   = {2009}
}

Comments

50 pages, 5 figures, changed content

R2 v1 2026-06-21T09:40:29.953Z